Biomathematics and Related Computational Problems

I. Neurosciences and Related Problems.- Mathematical methods of neurodynamics and self-organization.- Problems connected with neuronic equations.- A birth-and-death model for single neuron's activity.- Spatio-temporal patterns of activity in neural systems: simulation and analysis.- Statistical inference for stochastic neuronal models.- A diffusion neuronal model and its parameters.- Parallel processing in nervous systems with converging and diverging transmission.- White-noise analysis of neuron circuitry.- Perception quantitatively analyzed.- Learning in a cortical-like neural system model.- II. Population Theories.- Ecology.- Dynamics of a lake ecosystem.- Oscillations of a biotic species feeding on an abiotic resource.- Estimating parameters and extinction probabilities in population stochastic differential equations models.- A mathematical framework for the life-cycle of plankto-benthonic invertebrates.- Balanced growth rates vs. balanced accelerations as causes of ecological equilibria.- A stochastic model of grass growth under grazing.- Spectral analysis of secondary growth patterns in Pinus uncinata.- Physiologically structured population models in risk assessment.- The management of marine fishery in Italy: a bio-economic optimization.- Optimal life history models: effects of nonlinearities in the response of reproductive success to investment.- Variations in the length of activity periods: a test of a general model by simulation.- Dynamics and Evolution.- Homotopy techniques in stability problems of delay-diffusion Volterra models.- A counting process approach for stochastic age-dependent population dynamics.- Local and global stability of discrete one-dimensional population models.- On the evolution of altruistic cooperation.- Lotka-Volterra models: partial stability and partial ultimate boundedness.- A mathematical model of age-structured population dynamics with density dependent diffusion.- Origins of order in evolution: self organization and selection.- A stable spatially non-constant equilibrium of Lotka-Volterra two-patch system with May-Leonard dynamics.- Stabilization in a nonlinear agedependent population model.- Theories of evolution of social behavior.- On the boundedness of solutions for cyclic predator-prey systems.- III. Morphogenesis and Pattern Formation.- A model for rouleaux pattern formation of red blood cells. Enumeration of absolutely stable patterns.- Concentration waves in aggregation fields of a cellular slime mold.- Pattern generation in cellular spaces.- Modeling of biological aggregation patterns.- IV. Theoretical and Computational Methods.- Shot noise random fields.- Scalar steady-state in population biology as a nonlinear eigenvalue problem.- Numerical studies of symmetry-breaking bifurcations in reaction-diffusion systems.- Structural laws for hierarchical systems.- Dynamics of Alopex process: application to optimization problems.- Investigation of precursor-product relationships in radiotracer studies.- On a learning neural network.- Some considerations on the relationships between human and artificial intelligence.- Some numerical problems arising in the discretization of population dynamics models.- Stability in models with long memories.- Bio-mathematical approach to a new-generation computer.- Parametric stability of model ecosystems.- On the maximum of Gaussian Fourier series connected with random vibrations.- On a strongly coupled parabolic system in population dynamics.- Some remarks on first-passage-time problems.- Nonlinear random reaction-diffusion systems.- V. Biological, Chemical and Physical Systems.- Modification of the chaotic/order state of biological sistems by using electric fields.- Mathematical modelling for contracting muscle.- Macroscopic cardiac source model and propagation waves in excitable media.- Complexity and self-organization in enzyme catalysis: non-Kramers behaviours of the reaction rate.- Discrete and continuous media in the presence of a frequency gradient.- Electrical excitation propagation front in the cardiac muscle.- Artificial intelligence in medicine, cognitive science and epidemiological models.- Pattern-dynamics in excitable reaction-diffusion systems.- Symmetry breaking and Goldstone modes in neural nets.- On the elrctrical activity and glucose response of insuline secreting cells.- The dynamics of organizing centers: numerical experiments in differential geometry.- Name Index.